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JEE Main Mock 97

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Question 1

What volume of 0.4M FeCl₃.6H₂O will contain 600 mg of Fe³⁺?

Question 2

The radii of two of the first four Bohr orbits of the hydrogen atom are in the ratio 1 : 4. The energy difference between them may be -

Question 3

Which of the following is correct for a solution showing positive deviations from Raoult's law?

Question 4

If C(s) + O₂ (g) → CO₂ (g), ΔH = X and CO(g) + 1/2 O₂ (g) → CO₂ (g), ΔH = Y then the heat of formation of CO is–

Question 5

The value of a for which the area between the curves y² = 4ax and x² = 4ay is 1 sq. unit, is-

Question 6

The differential equation of the family of curves represented by the equation x² + y² = a² is-

Question 7

If the lines

and

are at right angles, then the value of k will be –

Question 8

For any three vectors

and

, (

–

). (

–

) × (

–

) =

Question 9

Two bodies M and N of equal masses are suspended from two separate massless springs of spring constants k₁ and k₂ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of M to that of N is-

Question 10

Three thin uniform rods each of mass M and length L and placed along the three axis of a Cartesian coordinate system with one end of each rod at the origin. The M.I. of the system about z-axis is-

Question 11

When a plane wave train transverses a medium, individual particles execute a periodic motion given by the equation y = 5 sin

where the lengths are expressed in centimeters and time in seconds. The phase difference for two positions of the same particles which are occupied at a time interval 0.8 s apart is-

Question 12

A bus of mass 1000 kg has an engine which produces a constant power of 50 kW. If the resistance to motion, assumed constant, is 1000 N. The maximum speed at which the bus can travel on level road and the acceleration when it is travelling at 25 m/s , will respectively be-

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Sep 26JEE & BITSAT